Question

Identify the variation as direct, inverse, joint or combined. If the area of a rectangle stays constant, what is the relationship between the base and the height?

Answer 1

Your answer is inverse.

Answer 2

The Base and Height of a rectangle have an inverse relationship, as long as the Area of the rectangle remains constant.

Explanation:

If the area of the rectangle remains constant, you have:

Area = Base * Height = K. Assuming K as a fixed real number, then:

Base = K / Height.

According to the previous expression, an increase in the value of the height of the rectangle generates a decrease in the value of the Base.

Conclusion: The Base and Height of a rectangle have an inverse relationship, as long as the Area of the rectangle remains constant.